Dichotomies for Triangular Systems via Admissibility
Journal of Dynamics and Differential Equations(2024)
摘要
In this article we study the relationship between the exponential dichotomy properties of a triangular system of linear difference equations and its associated diagonal system. We use admissibility to give new shorter proofs of results obtained in Battelli et al. (J Differ Equ Appl 28:1054–1086, 2022) and we also establish new necessary and sufficient conditions that the diagonal system have a dichotomy when the triangular system has a dichotomy. We conclude with analogous results for differential equations.
更多查看译文
关键词
Exponential dichotomy,Triangular systems,Difference equations,Ordinary differential equations
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要